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Finding the Fourth Proportional to 6,524,064,015.40, 9,786,096,023.19 and 6,524,064,015.40

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Solution

The fourth proportional to 6,524,064,015.40, 9,786,096,023.19 and 6,524,064,015.40 is: 9,786,096,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524,064,015.40 : 9,786,096,023.19 = 6,524,064,015.40 : x
  2. Step 2: Convert to fraction form
    6,524,064,015.40/9,786,096,023.19 = 6,524,064,015.40/x
  3. Step 3: Cross multiply
    6,524,064,015.40x = 9,786,096,023.19 × 6,524,064,015.40
  4. Step 4: Simplify right side
    6,524,064,015.40x = 63,845,116,916,142,923,776
  5. Step 5: Solve for x
    x = 63,845,116,916,142,923,776/6,524,064,015.40
  6. Step 6: Final answer
    x = 9,786,096,023.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.